Write the explicit formula for the sequence. -1, 4, -16, 64,... A) an = (4)(n-1) B) an = (-4)(n-1) C) an = -(4)(n-1) D) an = -(-4)(n-1)

[tex]50-u>48\qquad\text{subtract 50 from both sides}\\\\-u>-2\qquad\text{change the signs}\\\\u<2[/tex]

Answer:

0.001

Step-by-step explanation:

We are given that

Suppose you have the probability of winning with a scratch -off lottery ticket,P(A) =[tex]\frac{1}{10}[/tex]

Probability:It is defined as the possibility of an event that is occurred or not.

It is obtained by dividing  the number of favourable cases with total number of cases.

The formula of finding out the probability of an event

P(E)=[tex]\frac{Number\;of\;favourable\; cases}{Total\;number\;of\;cases}[/tex]

We have to find the probability of winning 3 lottery

The probability of winning all three tickets,[tex]P(A AA)=P(A)\cdotP(A)\cdotP(A)[/tex]

Therefore, the probability of winning all 3 lottery =[tex]\frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}[/tex]

The probability of winning all three tickets,P(A AA)=[tex]\frac{1}{1000}[/tex]

The probability of winning all three tickets,P(A AA)

=0.001

Answer:0.001

Answer: Yoghes has $0.87

Step-by-step explanation: We want to know the total amount of money that Yogesh has:

each quarter values 25¢, a dime values 10¢, and a penny values 1¢

(or the values can be written as $0.25, $0.10 and $0.01 respectively)

Yogesh has 3 quarters, so this means he has: 3*$0.25 = $0.75

he has 1 dime, so in dimes, he has: $0.10

he has 2 pennies, so in pennies, he has: 2*$0.01 = $0.02

If we sum up the 3 amounts, we have:

Total = $0.75 + $0.10 + $0.02 = $0.87

Answer:

f(x) + g(x) = 6x^2 + 28x + 36

Step-by-step explanation:

Thirty eight

You begin to solve this by writing it like this [just as you have it].

f(x) = x^2 + 5                    Now put g(x) where you see x

f(g(x)) = [g(x)]^2 + 5          Now substitute the right side of g(x) wherever you see g(x)

f(x - 4) = [x - 4]^2 + 5        Expand the brackets

f(x- 4) = x^2 - 8x + 16 + 5

f(x - 4) = x^2 - 8x + 21

=======================

Thirty Nine

f(x) = (x + 4)^2

g(x) = 5(x + 2)^2

Expand f(x)

f(x) = x^2 + 8x + 16

Expand g(x)

f(x) + g(x) = x^2 + 8x + 16 + 5x^2 + 20x + 20

f(x) + g(x) = 6x^2 + 28x + 36

Answer:

Step-by-step explanation: I would say 3 because when you divide 54 by 9 you get 6. Then when you divide 6 by 2, you get 3. Hope this helps‼ ☺

The number of students gym teacher has putted in each team is, 3

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A third-grade gym class has 54 students

The gym teacher divides them into 9 groups

Then divides each group into 2 teams

The number of students in each team = ?

Number of students in a group =   54/9

                                                    =    6 students

Then each group divided into two teams,

Number of students in each team = 6/2

                                                         = 3

Hence, the number of students is 3

To know more about Ratio check:

https://brainly.com/question/13419413

#SPJ3

Answer:

see explanation

Step-by-step explanation:

when solving an equation and the final statement reads

4 = 4

this means that there are an infinite number of solutions to the system

Answer:

A Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

i added up all of Yana's points = 15

I added up all of Amber's points = 12

then i divided them both by 6 because there is 6 numbers total so then i got

Yana = 2.5 Amber = 2

2.5 - 2 = 0.5 so Yana's average number of points is 0.5 points greater than Amber's

:}

Answer:

A: Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

I did this on my homework

1. -4 and 3/10 and 4.51010910921... are all rational numbers.

2. Yes 81 is a perfect square because its square root is 9 which is a real number.

3. 5

4. Well the closest perfect square to 52 is 49 and 64. 52 is closer to 49 and the square root of 49 is 7 so the estimated value of the square root of 52 is about 7.

False- every square root is not rational because some aren't perfect squares, meaning the result is a decimal that keeps going forever.

5. (x+6, y-5)

x - price of a video tape

y - price of a DVD

[tex]\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}[/tex]

Answer:

A.

Step-by-step explanation:

delta = [tex]b^{2} - 4ac = (-8)^{2}-4*1*12 = 64 - 48 = 16[/tex]

[tex]x_{1} = \frac{b-\sqrt{delta}}{2a} = \frac{8+4}{2} = 6[/tex]  

[tex]x_{2} = \frac{b+\sqrt{delta}}{2a} = \frac{8-4}{2} = 2[/tex]

Answer:

 x=0 and y=2

Step-by-step explanation:

We have been given system of equations:

2x+5y=10     (1)

And 2x+3y=6     (2)

Subtract equation (2) from(1) we get:

2y=4

y=2

Now, substitute y=2 in equation(2) we get:

2x+3(2)=6

2x+6=6

2x=0

x=0

Hence, x=0 and y=2

Answer:

Answer (a):

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Answer (b)

9 large dogs.

Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

And the number of large dogs be 'l'

A system of equations will be:

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = [tex]\frac{288}{32}[/tex] = 9

So there are 9 large dogs.

Answer:

-2

Step-by-step explanation:

Hope this helps!

Answer:

6.1

Step-by-step explanation:

If we are rounding at the 0 digit, we look at the next digit, which is 9

9 >= 5 so we need to round  the 0 up to 1

6.099 rounds to 6.1

Answer:

6.1 is your answer

Step-by-step explanation:

The underlined digit (the tenth place) is 0. Look at the number in the place value directly right to it (hundredth place). It is a 9. Because 9 is greater than 5, round up.

6.099 rounded to the nearest tenth place is 6.1

~

Answer:

Step-by-step explanation:

And Answer: The 2 after the 0 is the tens. The 1 is the thousands(before the 0)

Step-by-step explanation:

Answer:

x∧2+4x-16

Step-by-step explanation:

Answer:x^2+4x-12

Step-by-step explanation: I got it right

Answer:

[tex]-10[/tex]

Step-by-step explanation:

The given expression is

[tex]n^2+5n-4[/tex]

We want to find the value of this expression when [tex]n=-3[/tex].

We just have to put [tex]-3[/tex] wherever we see [tex]n[/tex] in [tex]n^2+5n-4[/tex].

When [tex]n=-3[/tex] is substituted, we get,

[tex]=(-3)^2+5(-3)-4[/tex]

This will give us,

[tex]=9-15-4[/tex]

We simplify to get,

[tex]=-10[/tex]

Here is how you solve this problem with long-division. Hopefully it helps!

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

Answer:

2 miles

Step-by-step explanation:

We can use ratios to solve this problem

3/4 miles         x miles

--------------- = ---------------

3/8 hours          1 hours

Using cross products

3/4 * 1 = 3/8 * x

Multiply by 8/3 to isolate x

3/4 * 8/3 = 3/8*8/3 *x

8/4 = x

2 =x

Answer:

x=9/4

Step-by-step explanation:

Performing the indicated multiplication, we get

2x - 3x + 4 = 3x - 5

Combining the x terms, we get -4x = -9, so that x = 9/4.

[tex]\( m\% \) of \( n \) is \( \frac{{m \times n}}{{p}}\% \) of \( p \).[/tex]

To find what percentage m% of n is of p, you would calculate:

[tex]\[ \text{Percentage} = \frac{{(m\% \text{ of } n)}}{p} \times 100\% \][/tex]

Substituting [tex]\( m\% \) of \( n \) with \( \frac{m}{100} \times n \), t[/tex]he formula becomes:

[tex]\[ \text{Percentage} = \frac{{\frac{m}{100} \times n}}{p} \times 100\% \][/tex]

Simplify the expression:

[tex]\[ \text{Percentage} = \frac{{m \times n}}{{100 \times p}} \times 100\% \][/tex]

[tex]\[ \text{Percentage} = \frac{{m \times n}}{{p}}\% \][/tex]

So,[tex]\( m\% \) of \( n \) is \( \frac{{m \times n}}{{p}}\% \) of \( p \).[/tex]

Answer:

The correct answer is D.

Answer:

If a car with a blowing horn is moving toward you, the pitch sounds higher than the actual emitted frequency.

Step-by-step explanation:

In figure,

        V= speed of wave

         U= speed of car

When car moving towards you, then

Car travels a distance in time T = VT

 Wave travels a distance in time T = UT

From figure,

                    change in wavelength (λ') = VT - UT= T(V-U)

Now,

        V = λ' f'         (f' →frequency observed by you)

         f' = V ÷ λ' = [tex]\frac{V}{T(V-U)}[/tex]

We know that

                      [tex]\frac{1}{T}[/tex] = f

Then,

        f' =  [tex]\frac{Vf}{V-U}[/tex]

        f' = [tex]\frac{f}{1-\frac{U}{V} }[/tex]

Hence, we can say that

           frequency increases as source moves toward you.

Answer:

B. Increase

Step-by-step explanation:

The closer together the crests, the higher the frequency (or pitch)

Answer:

38809/(4pi) cm^2

Step-by-step explanation:

So the circumference of the wheel is 197. So to find the radius, we divide by 2 pi. So now we have 197/(2pi) as the radius. Now we have to find the area, so it is 38809/(4pi)

The area of the solid wheel is  3090 cm².

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know circumference is the distance around the circle which is 2πr.

Given, Each time a solid bicycle wheel turns, the bicycle travels 197cm.

Therefore,

2πr = 197.

r = 197/π×2.

r = 31.37 cm.

Therefore, The area of the solid wheel is,

πr².

= 3.14×(31.37)² cm².

= 3090 cm².

learn more about circles here :

https://brainly.com/question/29142813

#SPJ2

Answer:

No, it only equals 1 3/4.

Step-by-step explanation:

You first need to break up 1/2. You should know it equals 2/4, so adding 1 1/4 and 2/4, it will equal 1 3/4

Answer: the actual correct answer is D

Step-by-step explanation: i know the test answers because i am in flvs too